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Approximate Bayesian Computation (ABC) has become increasingly prominent as a method for conducting parameter inference in a range of challenging statistical problems, most notably those characterized by an intractable likelihood function.…

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability advantages of DC-OPF problems come at the expense…

Optimization and Control · Mathematics 2025-12-23 Babak Taheri , Daniel K. Molzahn

Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function of the model is expensive to evaluate but relatively cheap to sample from. In particle ABC, an ensemble of particles in the product space of…

Computation · Statistics 2016-04-15 Carlo Albert , Hans R. Kuensch , Andreas Scheidegger

Approximate Bayesian computation (ABC) methods make use of comparisons between simulated and observed summary statistics to overcome the problem of computationally intractable likelihood functions. As the practical implementation of ABC…

Methodology · Statistics 2013-06-12 M. G. B. Blum , M. A. Nunes , D. Prangle , S. A. Sisson

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

Simulation models of critical systems often have parameters that need to be calibrated using observed data. For expensive simulation models, calibration is done using an emulator of the simulation model built on simulation output at…

Methodology · Statistics 2023-08-24 Özge Sürer , Matthew Plumlee , Stefan M. Wild

In the problem of adaptive compressed sensing, one wants to estimate an approximately $k$-sparse vector $x\in\mathbb{R}^n$ from $m$ linear measurements $A_1 x, A_2 x,\ldots, A_m x$, where $A_i$ can be chosen based on the outcomes $A_1…

Data Structures and Algorithms · Computer Science 2018-04-26 Vasileios Nakos , Xiaofei Shi , David P. Woodruff , Hongyang Zhang

ABC (approximate Bayesian computation) is a general approach for dealing with models with an intractable likelihood. In this work, we derive ABC algorithms based on QMC (quasi- Monte Carlo) sequences. We show that the resulting ABC…

Computation · Statistics 2018-05-08 Alexander Buchholz , Nicolas Chopin

Pipelined analog-to-digital converters (ADCs) are fundamental components of various signal processing systems requiring high sampling rates and a high linearity. Over the past years, calibration techniques have been intensively investigated…

Signal Processing · Electrical Eng. & Systems 2022-07-12 Matthias Wagner , Oliver Lang , Thomas Bauernfeind , Mario Huemer

A high-precision charge measurement can be achieved by the area integration of a digitized quasi-Gaussian signal after the signal passes through the shaper and analog-to-digital converter (ADC). The charge measurement contains an error due…

Instrumentation and Detectors · Physics 2019-09-26 Jiajin Zhang , Lei Zhao , Ruoshi Dong , Peipei Deng , Cong Ma , Jiaming Lu , Shubin Liu , Qi An

This paper proposes a belief propagation (BP)-based algorithm for sequential detection and estimation of multipath component (MPC) parameters based on radio signals. Under dynamic channel conditions with moving transmitter/receiver, the…

Information Theory · Computer Science 2022-05-24 Xuhong Li , Erik Leitinger , Alexander Venus , Fredrik Tufvesson

Mixture model-based clustering has become an increasingly popular data analysis technique since its introduction over fifty years ago, and is now commonly utilized within a family setting. Families of mixture models arise when the component…

Methodology · Statistics 2019-11-11 Sanjeena Subedi , Paul D. McNicholas

This paper proposes a nonlinear, adaptive controller to increase the stability margin of a direct-current (DC) small-scale electrical network containing a constant power load, whose value is unknown. Due to their negative incremental…

Systems and Control · Computer Science 2018-09-14 Juan E. Machado , José Arocas-Pérez , Wei He , Romeo Ortega , Robert Griñó

Markov chain Monte Carlo (MCMC) methods are ubiquitous tools for simulation-based inference in many fields but designing and identifying good MCMC samplers is still an open question. This paper introduces a novel MCMC algorithm, namely,…

In this paper, a neural network predictive controller (NNPC) is proposed to control a buck converter. Conventional controllers such as proportional integral (PI) or proportional integral derivative (PID) are designed based on the linearized…

Systems and Control · Electrical Eng. & Systems 2020-02-10 Sepehr Saadatmand , Pourya Shamsi , Mehdi Ferdowsi

A common approach to modelling extreme values is to consider the excesses above a high threshold as realisations of a non-homogeneous Poisson process. While this method offers the advantage of modelling using threshold-invariant extreme…

Applications · Statistics 2016-12-09 Paul Sharkey , Jonathan A. Tawn

Approximate Bayesian computation (ABC) is a class of algorithmic methods in Bayesian inference using statistical summaries and computer simulations. ABC has become popular in evolutionary genetics and in other branches of biology. However…

Computation · Statistics 2011-05-03 Olivier Francois , Guillaume Laval

Achieving ultimate bounds in estimation processes is the main objective of quantum metrology. In this context, several problems require measurement of multiple parameters by employing only a limited amount of resources. To this end,…

Inferring parameter distributions of complex industrial systems from noisy time series data requires methods to deal with the uncertainty of the underlying data and the used simulation model. Bayesian inference is well suited for these…

Applications · Statistics 2021-06-18 David N. John , Livia Stohrer , Claudia Schillings , Michael Schick , Vincent Heuveline

We propose a novel approach to approximate Bayesian computation (ABC) that seeks to cater for possible misspecification of the assumed model. This new approach can be equally applied to rejection-based ABC and to popular regression…

Methodology · Statistics 2020-08-11 David T. Frazier , Christopher Drovandi , Ruben Loaiza-Maya
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